Question

Is there a smooth surjective function $f:\mathbb{R}^2 \to \mathbb{R}^3$?

score 452 · Answer 1 · 2018-08-28 10:13:04

452

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Is there a smooth surjective function $f:\mathbb{R}^2 \to \mathbb{R}^3$?

Published on 28 Aug 2018 - 10:13

score 205 · Answer 2 · 2026-03-20 05:40:53

205

Views

Can a basis of a tangent space be mapped to a basis of another tangent space if the map between the spaces is a homeomorphism and vice versa?

Published on 20 Mar 2026 - 5:40

score 32 · Answer 3 · 2018-09-06 19:23:01

32

Views

Proving differentiability of $f$ from bound

Published on 06 Sep 2018 - 19:23

score 39 · Answer 4 · 2018-09-07 10:08:57

39

Views

Doubt about differentia operatorl in polar coordinates

Published on 07 Sep 2018 - 10:08

score 196 · Answer 5 · 2018-09-09 19:13:51

196

Views

Unit vectors in vector integration of differential surfaces

Published on 09 Sep 2018 - 19:13

score 47 · Answer 6 · 2018-09-12 18:14:04

47

Views

Using the Ito formula for the differential of a (function of) Brownian motion

Published on 12 Sep 2018 - 18:14

score 99 · Answer 7 · 2018-09-14 19:39:05

99

Views

$M, N, P$ smooth manifolds and $F: M \to N$, $G: N \to P$ smooth maps. Show $d(G\circ F)_p=dG_{F(p)} \circ dF_p: T_p M \to T_{G \circ F(p)}P$.

Published on 14 Sep 2018 - 19:39

score 5.7k · Answer 8 · 2018-09-15 11:42:32

5.7k

Views

Find Order And Degree of a Differential Equation

Published on 15 Sep 2018 - 11:42

score 56 · Answer 9 · 2026-03-25 11:10:13

56

Views

Finding the eigenfunctions of an operator with multiple derivatives

Published on 25 Mar 2026 - 11:10

score 82 · Answer 10 · 2018-09-16 16:26:39

82

Views

Diffeomorphism and bracket?

Published on 16 Sep 2018 - 16:26

score 752 · Answer 11 · 2026-03-25 12:47:06

752

Views

Proof that 2=1 using differentiation

Published on 25 Mar 2026 - 12:47

score 1.2k · Answer 12 · 2018-09-21 00:43:13

1.2k

Views

Rearranging Differential Equation

Published on 21 Sep 2018 - 0:43

score 306 · Answer 13 · 2018-09-25 17:42:31

306

Views

Why does a manifold need injectivity for the derivative at a point for local parametrizations

Published on 25 Sep 2018 - 17:42

score 95 · Answer 14 · 2026-03-25 04:40:19

95

Views

How to get the linear combination of a k-form?

Published on 25 Mar 2026 - 4:40

score 240 · Answer 15 · 2026-03-25 06:09:56

240

Views

Exact Differential: Integrating Factor in Higher Dimensions

Published on 25 Mar 2026 - 6:09

List Question

Is there a smooth surjective function $f:\mathbb{R}^2 \to \mathbb{R}^3$?

Can a basis of a tangent space be mapped to a basis of another tangent space if the map between the spaces is a homeomorphism and vice versa?

Proving differentiability of $f$ from bound

Doubt about differentia operatorl in polar coordinates

Unit vectors in vector integration of differential surfaces

Using the Ito formula for the differential of a (function of) Brownian motion

$M, N, P$ smooth manifolds and $F: M \to N$, $G: N \to P$ smooth maps. Show $d(G\circ F)_p=dG_{F(p)} \circ dF_p: T_p M \to T_{G \circ F(p)}P$.

Find Order And Degree of a Differential Equation

Finding the eigenfunctions of an operator with multiple derivatives

Diffeomorphism and bracket?

Proof that 2=1 using differentiation

Rearranging Differential Equation

Why does a manifold need injectivity for the derivative at a point for local parametrizations

How to get the linear combination of a k-form?

Exact Differential: Integrating Factor in Higher Dimensions

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